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Finding the Fourth Proportional to 354.74, 486.82 and 318.08

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Solution

The fourth proportional to 354.74, 486.82 and 318.08 is: 436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.74 : 486.82 = 318.08 : x
  2. Step 2: Convert to fraction form
    354.74/486.82 = 318.08/x
  3. Step 3: Cross multiply
    354.74x = 486.82 × 318.08
  4. Step 4: Simplify right side
    354.74x = 154,847.71
  5. Step 5: Solve for x
    x = 154,847.71/354.74
  6. Step 6: Final answer
    x = 436.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.